You may be surprised by the Durham area weather in January. It might be really cold and snowing. It could just as easily be sunny and in the 50s. Don't count out some outdoors activities - there are quite a few lovely walking areas that are doable by folks of all ages (Duke Forest, Duke Gardens, West Point on the Eno park).
Dining: some local favorites
Bullocks BBQ http://durham.citysearch.com/profile...b_cue_inc.html
The 'Que Shack http://www.theqshackoriginal.com/
Nana's http://www.nanasdurham.com/
Magnolia Grill http://www.magnoliagrill.net/
Nkios http://www.historicbrightleaf.com/di...mlSatisfaction
Satisfaction (pizza - Duke hangout) http://www.historicbrightleaf.com/di...ion/index.html